Thermal buckling and nonlinear flutter behavior of shape memory alloy hybrid composite plates

Abstract

A new nonlinear finite element model is provided for the nonlinear flutter response of shape memory alloy (SMA) hybrid composite plates under the combined effect of thermal and aerodynamic loads. The nonlinear governing equations for moderately thick rectangular plates are obtained using first-order shear-deformable plate theory, von Karman strain-displacement relations and the principle of virtual work. To account for the temperature dependence of material properties, the thermal strain is stated as an integral quantity of thermal expansion coefficient with respect to temperature. The aerodynamic pressure is modeled using the quasi-steady first-order piston theory. Newton-Raphson iteration method is employed to obtain the thermal post-buckling deflection, while the linearized updated mode method is implemented in predicting the limit-cycle oscillation at elevated temperatures. Numerical results are presented to show the thermal buckling and flutter characteristics of SMA hybrid composite plates, illustrating the effect of the SMA volume fraction and pre-strain value on the aero-thermo-mechanical response of such plates.

Exact solution for nonlinear thermal stability of hybrid laminated composite Timoshenko beams reinforced with SMA fibers

“…The nonlinear governing equations may be presented in terms of the displacements according to the definition of stress resultants (16). For the sake of generality, the following non-dimensional parameters are introduced and are used in the rest of this work …”

“…A nonlinear finite element formulation is presented by Ibrahim et al [16,17] to predict the response of both perfect and initially imperfect laminated panels in rectangular shape embedded with SMA wires. Thermal equilibrium path and small amplitude vibrations in both pre-and postbuckling phases are analyzed.…”

Thermoacoustic Random Response of Shape Memory Alloy Hybrid Composite Plates

“…Clamped and simply supported boundary conditions are studied. Table 1 presents the material properties of the composite matrix and SMA fibers [28]. A uniform temperature elevation is applied to the plate, and the reference temperature is assumed to be 21 C. Figures 3 and 4 present the postbuckling deflection for three different prestrains of SMA fibers with 5% volume fraction.…”

“…Gou et al [27] developed an efficient finite element procedure to predict large-amplitude nonlinear random response of thin SMA hybrid composite (SMAHC) plates subject to combined thermal and acoustic excitations. Ibrahim et al [28] investigated the thermal buckling of thick SMAHC plates. Moreover, a frequency domain solution for predicting panel flutter boundaries at elevated temperatures was presented.…”

Nonlinear thermo-inertial instability of functionally graded shape memory alloy sandwich plates

“…Moreover, SMAs are suitable for actuation applications due to their direct coupling of thermal and mechanical fields with high actuation frequency and actuation energy density [21]. There exists a considerable amount of research on the application of SMA layers/fibers in composite structures [22][23][24][25][26][27][28][29][30][31][32][33][34]. Among the primary research in this area, one may refer to the work of Rogers et al [22], in which several concepts of structural improvement of http://dx.doi.org/10.1016/j.compstruct.2014.…”